Averaging Over the Unitarian Group and the Monotonicity Conjecture of Merris and Watkins

Details Averaging Over the Unitarian Group and the Monotonicity Conjecture of Merris and Watkins Averaging Over the Unitarian Group and the Monotonicity Conjecture of Merris and Watkins

2011-09-26

arxiv.org/abs/1109.5472v1

Mathematics

Representation Theory

22 pages 1 figure

Scientific paper

We show that the monotonicity conjecture of Merriss and Watkins is true in
average when taking the set of matrices of given non negative spectra as
probability space with respect to the Haar measure of the unitarian group .

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